What is (m^2-7m-18)/(m^2-10m+9)+6/(m-1) ?

The solution to (m^2-7m-18)/(m^2-10m+9)+6/(m-1) is (m+8)/(m-1)

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simplify (m^2-7m-18)/(m^2-10m+9)+6/(m-1)

simplify

\frac{m ^{2} - 7 m - 18}{m ^{2} - 10 m + 9} + \frac{6}{m - 1}

\frac{m + 8}{m - 1}

Solution steps

\frac{m ^{2} - 7 m - 18}{m ^{2} - 10 m + 9} + \frac{6}{m - 1}

Cancel

\frac{m ^{2} - 7 m - 18}{m ^{2} - 10 m + 9} : \frac{m + 2}{m - 1}

= \frac{m + 2}{m - 1} + \frac{6}{m - 1}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{m + 2 + 6}{m - 1}

Add the numbers:

2 + 6 = 8

= \frac{m + 8}{m - 1}

- 42 a^{4} b^{3} + 36 a^{3} b^{4} + 18 a^{4} b^{4}

(x - 2)^{2} = - 9

x^{2} - 3 x + 7 = 0

2 (2 x - 4) + 3 (3 x + 6) = 49

\frac{3}{4} - \frac{5}{3}

What is (m^2-7m-18)/(m^2-10m+9)+6/(m-1) ?
The solution to (m^2-7m-18)/(m^2-10m+9)+6/(m-1) is (m+8)/(m-1)